In an ap the sum of first 10 terms is - 150
WebOct 10, 2024 · In an A.P., the sum of first ten terms is -150 and the sum of its next ten terms is -550. Find the A.P. The sum of first q terms of an A.P. is 63 q – 3 q 2. If its p th term is − 60, find the value of p, Also, find the 11th term of … WebApr 11, 2024 · Given the sum of the first 10 terms of an AP is -150 and the sum of the next ten terms which means Sum of first 20 terms - Sum of first 10 terms is -530. Let the first term, common difference of the AP be a and d respectively. Now, ⇒ S₁₀ = 10/2 [ 2a + (10 - 1)d ] ⇒ -150 = 5 [ 2a + 9d ] ⇒ 2a + 9d = -30 ...(i) Now, according to the second case,
In an ap the sum of first 10 terms is - 150
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WebIn an A.P sum of first ten terms is −150 and the sum of its next ten terms is −550, Find the A.P. Medium Solution Verified by Toppr The sum of the first n terms of an AP is S n = … Webgiven S10 = a1+a2+...+10 = 150 But we know that: s10 = (a1+a10)*10/2 = 150 ==> a1+a10 = 150/5 ==> a1+a10 = 30 ==> a10 = 30 - a1...... (1) But a10 = a1 + 9*3 = a1 + 27 ==> a10 = 27 +...
WebOct 20, 2024 · In an AP the sum of first ten terms is -150 and the sum of its next 10 terms is -550. Find the AP. Is this the question you’re looking for? Advertisement Expert-Verified Answer 49 people found it helpful Hey there !! Let a be the first term and d be the common difference of the given AP . S₁₀ = -150. ⇒ Sn = n/2 [ 2a + (n-1)d] WebIn an AP, the sum of first ten terms is -150 and the sum of next ten terms is -550. Find the AP.
WebYou would do the exact same process, but you would have to SOLVE for "n" (number of terms) first. To do so, you must start with the arithmetic sequence formula: tn = a + d(n −1) Then, sub in all known values. tn = 15 (last term of the sequence), a = 1 (first term), d = 2 (difference between terms) and solve for n like so: 15 = 1 + 2(n −1) WebWhat is the Sum of n Terms of an AP Formula? The sum of n terms of an AP can be found using one of the following formulas: S n = n/2 (2a+(n−1)d) S n = n/2 (a 1 +a n) Here, a = a 1 = the first term, d = the common difference, n …
WebOct 10, 2024 · Academic Mathematics NCERT Class 10 Given: In an A.P., the sum of first ten terms is -150 and the sum of its next ten terms is -550. What to do: To find the A.P. …
WebThe sum of the first five terms of an AP and the sum of the first seven terms of the same AP is 167. If the sum of the first ten terms of this AP is 235, find the sum of its first twenty terms. Q. ionic pro 90ip01ta01w turbo wayfairontario vehicle licence feesWebOct 20, 2024 · Let a be the first term and d be the common difference of the given AP . S₁₀ = -150. ⇒ Sn = n/2 [ 2a + (n-1)d] ⇒ S₁₀ = 10/2 [ 2a + ( 10 - 1 ) d ]. ⇒ -150= 10/2 [ 2a + 9d ] ⇒ … ontario vehicle ownership imageWebAnswer (1 of 5): 15+30+45 … +150 is an AP, whose first term, a = 15 and the common difference = 15. Tn = 150 = a+(n-1)d = 15 + (n-1)*15, or dividing right through by 15, 10 = 1 + (n-1), or n = 10 Sn = (n/2)[2a + (n-1)d] S10= (10/2)[2*15 + … ontario vehicle ownership address changeWebApr 8, 2024 · To write the sum of first ‘n’ terms of the AP, use the formula S n = n 2 [ 2 a + ( n − 1) d]. Write equations based on the data given in the question. Simplify the equations to calculate the values of variables ‘a’ and ‘d’ and thus, … ionic pro 911phWebApr 11, 2024 · Given the sum of the first 10 terms of an AP is -150 and the sum of the next ten terms which means Sum of first 20 terms-Sum of first 10 terms is -530. Let the first … ionic pro compact bed bath \\u0026 beyondWebThe sum of n terms of an AP can be easily found out using a simple formula which says that, if we have an AP whose first term is a and the common difference is d, then the formula of the sum of n terms of the AP is S n = … ionic pro compact bed bath \u0026 beyond